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Finding the Fourth Proportional to 441.92, 609.60 and 266.96

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Solution

The fourth proportional to 441.92, 609.60 and 266.96 is: 368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.92 : 609.60 = 266.96 : x
  2. Step 2: Convert to fraction form
    441.92/609.60 = 266.96/x
  3. Step 3: Cross multiply
    441.92x = 609.60 × 266.96
  4. Step 4: Simplify right side
    441.92x = 162,738.82
  5. Step 5: Solve for x
    x = 162,738.82/441.92
  6. Step 6: Final answer
    x = 368.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.